Lectures related to Extremum of a Function: Constraints

Explores linear dependence and independence of vectors in geometric spaces.

Covers orthogonal families and projections in vector spaces, including the Gram-Schmidt process.

Explores linear dependence theorems and proofs, emphasizing the importance of understanding linear dependence in linear algebra.

Explores matrix determinants, linear independence, and bases in vector spaces.

Covers the concept of osculating planes and parameterized curves, discussing the speed of points and linear independence.

Covers the definition and use of coordinate systems and applications in bases and linear equations.